| 二维Navier-Stokes方程:变模非线性Galerkin方法和数值稳定性 |
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| 引用本文： | 伍渝江,宋伦继,赵廷刚.二维Navier-Stokes方程:变模非线性Galerkin方法和数值稳定性[J].河西学院学报,2002,18(2):13-18. |
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| 作者姓名： | 伍渝江 宋伦继 赵廷刚 |
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| 作者单位： | 兰州大学数学系，甘肃兰州730000 |
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| 基金项目： | 教育部“高等学校骨干教师资助计划” |
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| 摘 要： | 本文讨论采用非对称反馈作校正的变模非线性Galerkin方法，给出数值求解空间维 数为2的Navier - Stokes方程的离散格式及其数值稳定性分析，得到了与标准非线性Galerk in方法一致的稳定性结论．
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| 关 键 词： | Navier-Stokes方程 近似惯性流形 非线性Galerkin方法 稳定性 |
Two-Dimensional Navier-Stokes Equations：A Nonlinear Galerkin Method with Variable Modes and its Numerical Stability |
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| Wu Yujiang ,Song Lunji ,Zhao Tinggang.Two-Dimensional Navier-Stokes Equations：A Nonlinear Galerkin Method with Variable Modes and its Numerical Stability[J].Journal of Hexi University,2002,18(2):13-18. |
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| Authors: | Wu Yujiang Song Lunji Zhao Tinggang |
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| Abstract: | This paper discusses the nonlinear Galerkin method with variable modes which makes use of the nonsymmetric feedback as the correction. We give the discrete scheme and the numerical stability analysis for solving Navier-Stokes equaitons with two space dimension. The conclusion for stability is the same as that of the standard nonlin-ear Galerkin method． Key words： |
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| Keywords: | Navier-Stokes equations approximate inertial manifold nonlinear Galerkin method stability． |
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